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11361731000 = 235349922769
BaseRepresentation
bin10101001010011011…
…00100000110111000
31002022211002201212212
422211031210012320
5141232100343000
65115225154252
7551361056114
oct124515440670
932284081785
1011361731000
114900445734
12225102b988
1310c0b5a269
1479ad52744
154676e3c35
hex2a53641b8

11361731000 has 64 divisors (see below), whose sum is σ = 26640900000. Its totient is φ = 4535385600.

The previous prime is 11361730993. The next prime is 11361731009. The reversal of 11361731000 is 13716311.

It is a super-2 number, since 2×113617310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11361731009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487616 + ... + 510384.

Almost surely, 211361731000 is an apocalyptic number.

11361731000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11361731000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13320450000).

11361731000 is an abundant number, since it is smaller than the sum of its proper divisors (15279169000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11361731000 is a wasteful number, since it uses less digits than its factorization.

11361731000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23289 (or 23275 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The spelling of 11361731000 in words is "eleven billion, three hundred sixty-one million, seven hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 499 500 998 1000 1996 2495 3992 4990 9980 12475 19960 22769 24950 45538 49900 62375 91076 99800 113845 124750 182152 227690 249500 455380 499000 569225 910760 1138450 2276900 2846125 4553800 5692250 11361731 11384500 22723462 22769000 45446924 56808655 90893848 113617310 227234620 284043275 454469240 568086550 1136173100 1420216375 2272346200 2840432750 5680865500 11361731000